3420987696 has 400 divisors, whose sum is σ = 12099225600. Its totient is φ = 911471616.

The previous prime is 3420987631. The next prime is 3420987721. The reversal of 3420987696 is 6967890243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15340641 + ... + 15340863.

It is an arithmetic number, because the mean of its divisors is an integer number (30248064).

Almost surely, 2^3420987696 is an apocalyptic number.

3420987696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420987696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049612800).

3420987696 is an abundant number, since it is smaller than the sum of its proper divisors (8678237904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3420987696 is a wasteful number, since it uses less digits than its factorization.

3420987696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3420987696 is about 58489.2100818604. The cubic root of 3420987696 is about 1506.7822795699.

The spelling of 3420987696 in words is "three billion, four hundred twenty million, nine hundred eighty-seven thousand, six hundred ninety-six".